Use our free GCF of Fractions Calculator tool to compute the GCF of 803/309, 619/778 i.e 1/240402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 803/309, 619/778.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 803/309,619/778
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 803/309,619/778, numerators are 803,619
Denominators are 309,778
The GCF of 803,619 is 1 .
LCM of 309,778 is 240402.
The greatest common factor of 803/309,619/778 = [GCF of 803,619]/[LCM of 309,778]= 1/240402
Therefore, the GCF of 803/309,619/778 is 1/240402.
To find the highest common factor of 803,619, we have to find the factors of both numbers and list the highest common factor.
The factors of 803 are 1, 11, 73, 803
The factors of 619 are 1, 619
The HCF of 803,619 is 1.
Lets's calculate GCF of 803,619
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 803
:1,11,73,803
Now, list down the factors of 619
:1,619
Greatest Common Factor
We found the factors 803,619 . The biggest common factor number is the GCF number.
So the greatest common factor 803,619 is 1.
Lets's calculate LCM of 309,778
Given numbers has no common factors except 1. So, there LCM is their product i.e 240402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240402
Therefore, the GCF of Fractions 803/309,619/778 is 1/240402
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 309,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,778) x common factors =1 x 1 = 1
LCM(309,778) = ( 309 × 778 ) / 1
LCM(309,778) = 240402 / 1
LCM(309,778) = 240402
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 803,619?
The HCF of 803,619 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 803/309, 619/778?
Answer: GCF of Numerators as per given numbers 803/309, 619/778 is
GCF of Numerators i.e. for 803,619 is 1
LCM of denominators i.e. for 309,778 is 240402.
Thus, GCF of Fractions is 1/240402.Finally, GCF of Fractions for 803/309, 619/778 is 1/240402.